Answer: (7x + 1)(x + 7)
Step-by-step explanation:
[tex]$$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$$[/tex]
The sum of an arithmetic series where t1 = -2, t3 = 7, and n = 15 is
The sum of the arithmetic series with the parameters t1 = -2, t3 = 7, and n = 15 is 442.5
How to determine the sum of the series?The given parameters are:
t1 = -2
t3 = 7
n = 15
Start by calculating the common difference using:
Tn = t1 + (n- 1)d
So, we have:
7 = -2 + (3 - 1) * d
Evaluate
7 = -2 + 2d
Add 2 to both sides
2d = 9
Divide by 2
d = 4.5
The sum is then calculated using:
[tex]S_n = \frac n2 * (2a + (n - 1) * d)[/tex]
So, we have:
[tex]S_{15} = \frac {15}2 * (2*-2 + (15 - 1) * 4.5)[/tex]
Evaluate
[tex]S_{15} = 442.5[/tex]
Hence, the sum of the arithmetic series is 442.5
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Line A and Line Bare
parallel lines.
If the slope of Line
A is 4/5, what is
the slope of Line B?
A
B
A. 4/5
B. 5/4
C. There is not enough information to find the answer to
this question.
Answer:
I think it b
Step-by-step explanation:
I had the same question
Let f be defined as shown. Which statement is true?
The inverse of f exists.
The inverse of f does not exist.
Answer:
The inverse of f exists
Step-by-step explanation:
Because f is a function, then the function f has an inverse
which expressions are equivalent to the one below? Check all that apply log_7 1* log_5 25
40 POINTS!!!!!!!!!!!!!!!!!!!!
Answer:
Shaded square 1: 4
Shaded square 2: 6
Shades square 3: 2
*Sorry all I can get at the moment is the shaded squares I'm still a little new to this
Step-by-step explanation:
Rewrite the function by completing the square.
f(x)=x^2-4x-26
Answer:
[tex](x-2)^2-30[/tex]
Step-by-step explanation:
use the form [tex]ax^2+bx+c[/tex] to find the values of a, b, and c.
[tex]a=1, b= -4, c = -26[/tex]
consider the vertex form of a parabola
[tex]a(x+d)^2+e[/tex]
substitute the values of a and b into the formula [tex]d=\frac{b}{2a}[/tex]
[tex]d=\frac{4}{2(1)}[/tex]
simplify the right side.
find the value of e using the formula [tex]e=c-\frac{b^2}{4a}[/tex]
[tex]e=30[/tex]
NO LINKS!! What Is Your Answer? Please help me
There are several ways you can prove triangles congruent
Just you have to look at these parts of triangles
Same anglesSame sidesCommon sideThe ways are
Side-Angle-sideAngle-Angle-AngleSide-angle-angleside-side-side#2
Yes we can form
The rule is that sum of two sides must be greater than third side
check
3+4>54+5>33+5>4Work out the sheet below
Answer:
188 meters cubed
Step-by-step explanation:
radius = 1/2d d=6 radius =3 height 20formula for thia equation is 1/3 (3.14)(3^2)(20)(3.14)(9)(20)3.14 x 9 = 28.2628.26 x 20 = 565.2565.2/3 = 188.40188.4 round to 3sf is 188What is 1637,984 rounded to the nearest ten
The number rounded to the nearest ten will be 1640. The number is grater than the 5 on the scale.
What are rule for finding a number rounded to the nearest ten?If the digit in the units place is between 0 and 10 i.e., 5, then the unit digit is substituted by 0.
If the digit in the units place is between 5 and 9, that is, > or 5 but less than 10, the units place is replaced by '0,' and the tens place is incremented by 1.
The given number is;
x=1637.984
The number is 7.9 grater than 5. So that the number is rounded to the nearest whole number,i.e.1640
Hence,the number rounded to the nearest ten will be 1640.
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what can anika conclued about the scale factor and missing measurements? select three options
the scale factor is 0.60
the scale factor is 0.25
the length of side a is 8.75 cm
the length of side a is 21 cm
the length of side b is 6.25 cm
HOMEWORK HELP!!! ASAPP!!!
An airplane is flying on a compass heading (bearing) of 300° at 345 mph. A wind is
blowing with the bearing 280° at 20 mph.
(a) Find the component form of the velocity of the airplane,
(b) Find the actual ground speed and direction of the plane.
(Simplify your answer. Round to the nearest tenth as needed.)
Answer:
(a) north: 172.5 mph; west: 298.8 mph
(b) 363.9 mph at 298.9°
Step-by-step explanation:
The components of velocity are found using the formula for polar to rectangular coordinate conversion. The actual ground speed will be the result of adding the velocity vectors of the airplane and wind.
__
(a)The usual formula for converting polar coordinates (r; θ) to rectangular coordinates (x, y) is ...
(x, y) = r(cos(θ), sin(θ))
When this formula is used with bearing angles, the resulting components are (north, east).
The airplane velocity components are ...
north: 345·cos(300°) = 172.5 . . . . mph
east: 345·sin(300°) ≈ -298.8 . . . . mph (or 298.8 mph to the west)
__
(b)The sum of the two velocity vectors is found by a calculator to be ...
345∠300° +20∠280° = 363.9∠298.9°
If you wanted to calculate this by hand, you would find the components of the wind speed, add them to the components of the plane speed, and convert the rectangular components back to polar coordinates. The usual way that is done is using the formula ...
r = √(x² +y²)
θ = arctan(y/x) . . . . paying attention to quadrant
If you use x=northerly component, y=easterly component, then the resulting angle is the bearing angle.
_____
Additional comment
Some calculators are able to convert directly between (x, y) coordinates and (r; θ) coordinates. The calculator shown in the attachment converts (r; θ) coordinates to/from complex numbers. For the purpose here, the real part of the number is the northerly component, and the imaginary part is the easterly component.
The conversion to a complex number is x +iy = r(cos(θ) +i·sin(θ)), sometimes abbreviated r·cis(θ). The notation used here is even more compact: r∠θ. Conveniently, the calculator we used is able to employ this notation.
The probability of event A is x, and the probability of event B is y.
If the two events are independent, which condition must be true?
A.
P(AlB)=x
B.
P(BlA)=xy
C.
P(BlA)=x
D.
P(AlB)=y
Personal comment- Just to note, I saw two different answers for this one which were P(BlA)=xy and P(BlA)=y. I’m not sure who was correct. I saw an expert verified answer with only bout 40-ish “Thanks” but the other one was not an expert verified and it have bout 230 “Thanks”. I’m hesitant on which to go with. PLEASE HELP. I will send 50 extra brainliest if you give answer, and explain, AND if I get it right on the test. The last part is the only way to get extra. If you put in a random answer just to get easy brainliest, I will report to brainly moderators and have your question taken down, you will get your first and final warning (unless you have already gotten one which in this case your account will be banned) and you will lose brainliest points. I, and the Brainly community guidlines states that there is a ZERO TOLERANCE POLICY for any incorrect, unexplained, disrespectful answers.
Answer:
A. P(A l B) = x
Step-by-step explanation:
For independent events A and B,
P(B | A) = P(B)
P(A | B) = P(A)
P(A ∩ B) = P(A)P(B)
If P(A) = x and P(B) = y then:
⇒ P(B | A) = y
⇒ P(A | B) = x
⇒ P(A ∩ B) = xy
Therefore, the correct solution from the options given is:
A. P(A l B) = x
The diameter of a circle has endpoints (-10,5) and (-4,11)
Part A- find the center of the circle
Part B- find the distance of the radius
Part C- write the equation of the circle
well, since we know the endpoints for the diameter, its midpoint will be where the center of the circle is located, so
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{11}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -4 -10}{2}~~~ ,~~~ \cfrac{ 11 + 5}{2} \right)\implies \left(\cfrac{-14}{2}~~,~~\cfrac{16}{2} \right)\implies \stackrel{center}{(-7~~,~~8)}[/tex]
and if we get the distance between those endpoints, and take half of that, that'd be the radius of it.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{11})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[-4 - (-10)]^2 + [11 - 5]^2}\implies d=\sqrt{(-4+10)^2+6^2} \\\\\\ d=\sqrt{6^2+6^2}\implies d=\sqrt{72}~\hfill \stackrel{radius=half~that}{\cfrac{\sqrt{72}}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{-7}{ h},\stackrel{8}{ k})\qquad \qquad radius=\stackrel{\frac{\sqrt{72}}{2}}{ r} \\\\\\\ [x-(-7)]^2~~ + ~~[y-8]^2~~ = ~~\left( \frac{\sqrt{72}}{2} \right)^2\implies (x+7)^2~~ + ~~(y-8)^2~~ = ~~18[/tex]
Guys please help me with question 1 , 2 and 3 pleaseeee
Answer: 10 points, please!
Step-by-step explanation:
1. for the medium you want to find the number thats in the middle. so you have to write out all the numbers in order. then you step by step go to the middle and theres your medium.
0, 2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 7, 11
2, 2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 7
2, 2, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6,
2, 3, 3, 3, 3, 3, 3, 5, 5, 6,
3, 3, 3, 3, 3, 3, 5, 5,
3, 3, 3, 3, 3, 5,
3, 3, 3, 3,
3, 3,
The medium is 3.
2. for the mean you add all the numbers up and then divide based on how many numbers there are.
0 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 6 + 6 + 7 + 11 / 16
64/16
4
the average or mean is 4 which tells us that the average number of kids per houshold is 4. and none of the housholds have 4 children. we know this because of the data in the line plot.
the typical houshold size is either 3 or 4. the medium is 3 and the average or mean is 4.
10 points please
A child pulls a wagon with a force of 22 pounds. The handle of the wagon makes an angle of 45° with the ground. Express the force vector F in terms of i and j. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
The force vector F in terms of i and j, considering it's magnitude and angle, is represented by:
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
How can a vector be represented in i and j notation?Given a magnitude M and angle [tex]\theta[/tex], the a vector V can be represented as follows:
[tex]V = M\sin{\theta}i + M\cos{\theta}j[/tex]
In this problem, we have that the parameters are as follows:
[tex]M = 22, \theta = 45^\circ[/tex]
Hence:
[tex]V = 22\sin{45^\circ}i + 22\cos{45^\circ}j[/tex]
[tex]V = 22\frac{\sqrt{2}}{2}i + 22\frac{\sqrt{2}}{2}j[/tex]
[tex]V = 11\sqrt{2}i + 11\sqrt{2}j[/tex]
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My first question is: The LCM of 6 and 9 is_____
The second question is: The GCF of 21 and 35 is______
Answer:
3 and 7
Step-by-step explanation:
The LCM of 6 and 9 is 3
The GCF of 21 and 35 is 7
help me pleaseeeeeeeeeeeeeeeeee
Since the figure is a trapezoid, we must use the trapezoid area formula, [tex]A = (b_1 + b_2) / 2 * h[/tex]. By doing so, we can plug in the shown numbers on the image. After that, we multiply.
[tex]A = (8 + 14) / 2 * 5[/tex]
[tex]A = 22/2 * 5[/tex]
[tex]A = 11 *5[/tex]
[tex]A = 55^2[/tex]
The area of the trapezoid is 55 squared yards.
Calculate an estimate for the mean of the distribution.
Correct answers will be mark as BRAINLIEST and get 50 points
Wrong answers will be reported
Answer:
The mean is 26Step-by-step explanation:
The frequency table according to the graph looks like
Range | 0-10 10-20 20-30 30-40 40-50Frequency | 6 8 12 4 10Total number of frequencies is
6 + 8 + 12 + 4 + 10 = 40Sum of data, using the midpoint of frequency ranges
6*5 + 8*15 + 12*25 + 35*4 + 45*10 = 1040The mean is the average of data
1040/40 = 26Midpoints of frequency ranges
0+10/210/25They are
5,15,25,35,45Now
sum of frequencies
6+8+12+4+1040Mean:-
6(5)+8(15)+12(25)+4(35)+10(45)/4030+120+300+140+450/401040/4026A user manual with 500 pages has 4 pages without diagrams.
What percent of the pages do not have diagrams?
0.25%
0.49%
0.8%
1.25%
The percentage of the pages in the user manual that do not have diagrams is 0.8%.
What is the percentage?Percentage is a measure of frequency that is is used to determine the fraction of an amount that is usually expressed as a number out of hundred.
Percentage without diagram = (4/500) x 100 = 0.8%
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It cost $91 to rent a car for two days. What is the cost for one day?
Answer:
$45.5
Step-by-step explanation:
Assuming that there is no tax or change in rate its simply $91 divided by two. We know that 45 is half of 91, 45.5 x 2 = 91
exponential equation
27x+4=9x
Answer:
answer is 45 trust me im passing this concept
Step-by-step explanation:
Answer:
x= -2/9
Step-by-step explanation:
step 1: isolate the variable
27x+4 = 9x
-9x. -9x
18x+4 = 0
-4. -4
18x = -4
step 2: isolate the variable by dividing both sides by the coefficient
18x = -4
÷18. ÷18
=
x = -2/9
(x is equal to negative 2 ninths)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
12 gal : 20 gal
a =14.6 rounded to 1 DP
b= 3.25 rounded to 2 DP
Find the maximum of a - b
Answer:
11.405
Step-by-step explanation:
When rounding numbers, check the digit to the right of the one you're rounding to:
If it is 0, 1, 2, 3 or 4 round downIf it is 5, 6, 7, 8 or 9 round upIf a = 14.6 is rounded to 1 decimal place then:
minimum value of a = 14.55 (rounds up to 14.6)maximum value of a = 14.649999... (rounds down to 14.6)If b = 3.25 is rounded to 2 decimal places then:
minimum value of b = 3.245 (rounds up to 3.25)maximum value of b = 3.2549999... (rounds down to 3.25)Therefore, to find the maximum value of a - b, subtract the smallest value of b from the largest value of a:
[tex]\implies \sf a_{max}-b_{min}=14.649999...-3.245=11.405[/tex]
Aswer the following using matrices suppose that there are two internet service providers in Kabwe, Eyeconnect and Topconnect. Currently, Eyeconnect has 180 000 customers and Topconnect has 120 000 customers. Assume that, every year, 10% of the customer base of Eyeconnect switches to Topconnect and 5% of the customer base of Topconnect switches to Eyeconnect. For the purposes of this question, suppose no customer leaves a company without switching to the other one and no company attracts customers that are not leaving the other (that is, the only changes in customer base come from switching between the two companies). a) Find the number of customers of Eyeconnect and Topconnect after one year. b) Find the number of customers of Eyeconnect after many years.
Answer:
Sorry
Step-by-step explanation:
100 POINTS if you can get it right! Please answer I'm so tired and want this to be over :(
Answer:
224 cm²
Step-by-step explanation:
Look at the figure below.
All sides are in cm. All areas are in cm².
Triangle A:
A = bh/2 = 8 × 21 / 2 = 84
Rectangle B:
A = LW = 9 × 8 = 72
Rectangle C:
A = LW = 4 × 5 = 20
Triangle D:
A = bh/2 = 6 × 16 / 2 = 48
Total area = 84 + 72 + 20 + 48 = 224
Answer: 224 cm²
Solve ln (3x + 7) = 1. Round to the nearest thousandth.
Answer:
x = -2
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
3x+7−7=1−7
3x=−6
Step 2: Divide both sides by 3.
3x/3 = −6/3
x = −2
10,169 ÷ 342
Estimate:
Quotient:
Remainder:
Answer:
29.7339181287
The short answer:29.73
Which symbol correctly compares the two angles? pie/3 30° 3 O A.< O B. = O C. >
Answer:
>
Step-by-step explanation:
π / 3 is in radians.
Radian need to be converted into
degree ( ° ).
The value of in degree is 180°
π / 3 = 180 / 3 = 60°
60° > 30°
So,
( π / 3 ) > 30°
Cathleen was looking at 13 different colors to paint her bedroom. She liked about 1/4 of the colors.About how many colors did she like
Answer:
3.25 rounded to 3
Step-by-step explanation:
If she liked 1/4 of the colors, then we would divided by 13 by 4 to get 3.25.
She can't like 1/4 of a color though, so we would round to 3.
what is the total annual dividend received from owning 50 shares of stock A, If Company A Issues a $0.10 quarterly dividend to its shareholders
The total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders, is $20.
What is market value?Market value is the current price of a product, company, or something consorting to the stock of the market.
The total annual dividend received from owning 50 shares of stock A has to be found out when Company A Issues a $0.10 quarterly dividend to its shareholders.
Quarterly dividend is paid in each three month of the year.The dividend is paid 4 times in a year.For each quarter, the payment of dividend is,
[tex]0.10\times50\\5[/tex]
In a year,
[tex]5\times4\\20[/tex]
Thus, the total annual dividend which is received from owning 50 shares of stock A, when Company A Issues a $0.10 quarterly dividend to its shareholders is $20.
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